On 7 Maj, 03:08, david petry <david_lawrence_pe...@yahoo.com> wrote:> On Monday, May 6, 2013 3:01:53 AM UTC-7, Timothy Murphy wrote:> > What does the teacher say to the school pupil who asks,> > "What do you mean by the circumference of a circle?">> It can be explained intuitively in terms of wrapping a string around a cylinder.

Circumreference can be explained *exactly* by adding together allsidelengths of a uniform polygon where vertices approach a limit.It is easiest to start with a polygon because it is built by isoceles.Basicly you just go for an adequate smoothness and end up with givingthe sidelengths as a fraction relation to the vertice of the hexagon.So 1/x * distance between center of polygon and vertex.